What is the Greatest Common Factor of 69056 and 69068?

Greatest common factor (GCF) of 69056 and 69068 is 4.

GCF(69056,69068) = 4

We will now calculate the prime factors of 69056 and 69068, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 69056 and 69068.

How to find the GCF of 69056 and 69068?

We will first find the prime factorization of 69056 and 69068. After we will calculate the factors of 69056 and 69068 and find the biggest common factor number .

Step-1: Prime Factorization of 69056

Prime factors of 69056 are 2, 13, 83. Prime factorization of 69056 in exponential form is:

69056 = 2⁶ × 13¹ × 83¹

Step-2: Prime Factorization of 69068

Prime factors of 69068 are 2, 31, 557. Prime factorization of 69068 in exponential form is:

69068 = 2² × 31¹ × 557¹

Step-3: Factors of 69056

List of positive integer factors of 69056 that divides 69056 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 83, 104, 166, 208, 332, 416, 664, 832, 1079, 1328, 2158, 2656, 4316, 5312, 8632, 17264, 34528

Step-4: Factors of 69068

List of positive integer factors of 69068 that divides 69056 without a remainder.

1, 2, 4, 31, 62, 124, 557, 1114, 2228, 17267, 34534

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 69056 and 69068. The biggest common factor number is the GCF number.
So the greatest common factor 69056 and 69068 is 4.

Also check out the Least Common Multiple of 69056 and 69068